Answer
$x=\left\{\frac{1}{2}, -4\right\}$
Work Step by Step
Factor the trinomial to obtain:
$(2x-1)(x+4)=0$
Equate each factor to zero; then, solve each equation to obtain:
$\begin{array}{ccc}
&2x-1=0 &\text{ or } &x+4=0
\\&2x=1 &\text{ or } &x=-4
\\&x=\frac{1}{2} &\text{ or } &x=-4
\end{array}$
Thus, the solutions are:
$x-\left\{\frac{1}{2}, -4\right\}$
